# Define frequency time period and amplitude relationship

### Lesson Frequency, Wavelength, & Amplitude

Question 3 What is the relation between time period and frequency of an Question 6 How can we increase the amplitude of vibration?. Frequency cycle per second hertz Hz duration amplitude period periodic time to . wavelength or: What is the equation with frequency, distance, and time?. Energy of Waves: Amplitude, Frequency & Energy Loss. Wave What is Amplitude? . The period is the time it takes a wave to complete one cycle. This equation represents the relationship between frequency and period.

Every vibration or oscillation has three characteristics: Amplitude ,time period and frequency Amplitude of vibration The maximum distance to which the bob of a vibrating pendulum goes from its central position is called amplitude of vibration or amplitude of oscillation The distance AB is the amplitude of vibration of this simple pendulum.

## Oscillation amplitude and period

The maximum displacement of a vibrating object from its Central position is called the amplitude of vibration. The amplitude actually tell us how far the vibrating object is displaced from its central position. We can increase the amplitude of vibration of a simple pendulum by raising the height from which the pendulum bob is initially released.

We can decrease the amplitude of Vibration by releasing the pendulum bob from a smaller height. Time period of vibration One complete to and fro movement of the pendulum bob is called one vibration or one oscillation.

The time taken by a vibrating object to complete one vibration is called its time period. The time taken by one vibration or oscillation of a simple pendulum is very short and hence cannot be measured accurately.

So to find the time taken by 1 vibrations we measure the time taken by a large number of vibration. Dividing the total time by the total number of vibrations we get the time for one vibration of the pendulum. For a given pendulum ,the time period is the same every time. The time period of a pendulum depends only on the length of Pendulum.

It does not depend on amplitude of vibrations.

The unit of frequency of vibration or oscillation of a vibrating object is hertz. When an object makes one vibration per second its frequency is said to be 1 hertz. If an object makes 10 vibrations per secondthen its frequency will be 10 hertz.

The frequency actually tells us how fast the vibrating object repeats is motion. We can increase the frequency of a simple pendulum by reducing the length of its thread.

### Oscillation amplitude and period (article) | Khan Academy

And we can decrease the frequency of a simple pendulum by increasing the length. Time period is equal to the reciprocal of frequency. It consists of a strip of metal with reeds of graduated lengths, vibrated by an electromagnet. When the unknown frequency is applied to the electromagnet, the reed which is resonant at that frequency will vibrate with large amplitude, visible next to the scale. Stroboscope[ edit ] An older method of measuring the frequency of rotating or vibrating objects is to use a stroboscope.

### Frequency and Period of a Wave

This is an intense repetitively flashing light strobe light whose frequency can be adjusted with a calibrated timing circuit. The strobe light is pointed at the rotating object and the frequency adjusted up and down. When the frequency of the strobe equals the frequency of the rotating or vibrating object, the object completes one cycle of oscillation and returns to its original position between the flashes of light, so when illuminated by the strobe the object appears stationary.

Then the frequency can be read from the calibrated readout on the stroboscope. A downside of this method is that an object rotating at an integral multiple of the strobing frequency will also appear stationary. Frequency counter Modern frequency counter Higher frequencies are usually measured with a frequency counter. This is an electronic instrument which measures the frequency of an applied repetitive electronic signal and displays the result in hertz on a digital display.

It uses digital logic to count the number of cycles during a time interval established by a precision quartz time base.